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Simplifying 8x + -4x = 5(x + -1) + -2(7 + -2x) Combine like terms: 8x + -4x = 4x 4x = 5(x + -1) + -2(7 + -2x) Reorder the terms: 4x = 5(-1 + x) + -2(7 + -2x) 4x = (-1 * 5 + x * 5) + -2(7 + -2x) 4x = (-5 + 5x) + -2(7 + -2x) 4x = -5 + 5x + (7 * -2 + -2x * -2) 4x = -5 + 5x + (-14 + 4x) Reorder the terms: 4x = -5 + -14 + 5x + 4x Combine like terms: -5 + -14 = -19 4x = -19 + 5x + 4x Combine like terms: 5x + 4x = 9x 4x = -19 + 9x Solving 4x = -19 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 4x + -9x = -19 + 9x + -9x Combine like terms: 4x + -9x = -5x -5x = -19 + 9x + -9x Combine like terms: 9x + -9x = 0 -5x = -19 + 0 -5x = -19 Divide each side by '-5'. x = 3.8 Simplifying x = 3.8
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